**Ques 1.**

**While selling, a businessman allows 40% discount on the marked price and there is a loss of 30%. If it is sold at the marked price, profit per cent will be**

Solution :

Solution :

Marked Price = 100

After discount price = 100-40=60

60 ----- 70 %

X ----- 100% (Cost Price )

==> Cost Price = 600/7

If he sells at Marked Price Profit = 100 - 600/7 = 100/7

% of Profit = (100/7)/(600/7) * 100 = 100/6 %

**Ques 2.**

A man bought an article listed at Rs. 3000 with a discount of 20% offered on the list price. What additional discount must be offered to the man to bring the net price to Rs. 2208?

A man bought an article listed at Rs. 3000 with a discount of 20% offered on the list price. What additional discount must be offered to the man to bring the net price to Rs. 2208?

**Solution :**

==> 3000 * 80/100 * (100-X)/100 = 2208

==> X = 8%

**Ques 3.**

The marked price of a radio is Rs. 480. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain per cent would be

The marked price of a radio is Rs. 480. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain per cent would be

**Solution :**

After allowing discount , price = X

X --------------- 90%

480 ------------- 100%

==> X = 432

Even he gains 8%

Cost Price = Y

Y -------- 100%

432 ------ 108%

Cost Price (Y) = 400

If he not allows discount % of gain = (80/400) * 100 = 20%

Ques 4.

The marked price of a clock is Rs. 3200. It is to be sold at Rs. 2448 at two successive discounts. If the first discount is 10%, then the second discount is

Ques 4.

The marked price of a clock is Rs. 3200. It is to be sold at Rs. 2448 at two successive discounts. If the first discount is 10%, then the second discount is

**Solution :**

==> 3200 * 90/100 * (100-X) /100 = 2448

==> X = 15%

Ques 5.

A dealer marks his goods 30% above his cost price and then allows 15% discount on it. What is the cost price of an article on which he gains Rs. 84?

Solution :

Ques 5.

A dealer marks his goods 30% above his cost price and then allows 15% discount on it. What is the cost price of an article on which he gains Rs. 84?

Solution :

Effective change = 30-15-(30*15)/100 = +10.5%

10.5% ---------- 84

100% ----------- ?

Cost Price = 800

Ques 6.

A shopkeeper has announced 14% rebate on marked price of an article. If the selling price of the article is Rs. 645, then the marked price of the article will be

Ques 6.

A shopkeeper has announced 14% rebate on marked price of an article. If the selling price of the article is Rs. 645, then the marked price of the article will be

**Solution :**

645 ---------- 86%

? ----------- 100%

Marked Price = 750

Ques 7.

A merchant has announced 25% rebate on prices of readymade garments at the time of sale. If a purchaser needs to have a rebate of Rs. 400, then how many shirts, each costing Rs. 320, should he purchase?

Solution :

Ques 7.

A merchant has announced 25% rebate on prices of readymade garments at the time of sale. If a purchaser needs to have a rebate of Rs. 400, then how many shirts, each costing Rs. 320, should he purchase?

Solution :

And discount on a shirt = 320*25/100 = 80

Number of shirts has to be purchased to get a rebate of Rs. 400 = 400/80 = 5

**Ques 8.**

The difference between a discount of 40% on Rs. 500 and two successive discounts of 36% and 4% on the same amount is

The difference between a discount of 40% on Rs. 500 and two successive discounts of 36% and 4% on the same amount is

**Solution :**

Effective Discount = -36-4+1.44 = +38.56%

Difference = 40-38.56 = 1.44 %

1.44% -------- X

100% -------- 500

X = 7.2

Ques 9.

If the price of an item is increased by 30% and then allows two successive discounts of 10% and 10%. In last the price of an item is

Solution :

Ques 9.

If the price of an item is increased by 30% and then allows two successive discounts of 10% and 10%. In last the price of an item is

Solution :

Price of item = 100+30 = 130%

Price = 130 *90/100 * 90/100 = 105.3

Ques 10.

The cost price of an article is 64% of the marked price. The gain percentage after allowing a discount of 12% on the marked price is

Ques 10.

The cost price of an article is 64% of the marked price. The gain percentage after allowing a discount of 12% on the marked price is

**Solution :**

Marked Price = 100

Cost Price = 64

After allowing discount = 88

Gain percentage = 24/64 *100 = 37.5%

**Ques 11.**

A merchant marked the price on his goods 20% more than its cost price and allows a discount of 15%. His profit percent is

A merchant marked the price on his goods 20% more than its cost price and allows a discount of 15%. His profit percent is

Solution :

==> 100 * 120/100 * 85 /100 = 102

==>Profit = 102 - 100 = 2%

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